If A = {1, 2}, B = {1, 2, 3}, and C = {1, 2, 3, 4}, which statement is correct?
Answer and explanation
Correct answer: A ⊂ B ⊂ C (A, B का और B, C का उचित उपसमुच्चय है)
Every element of A, namely 1 and 2, is also present in B, and B contains the additional element 3. Thus A is a proper subset of B. Similarly, every element of B is present in C, while C has the additional element 4, so B is a proper subset of C. Therefore the correct chain is A ⊂ B ⊂ C. The inclusions are proper because the consecutive sets are not equal.
Frequently asked questions
What is the correct answer to this question?
A ⊂ B ⊂ C (A, B का और B, C का उचित उपसमुच्चय है)
Why is this the correct answer?
Every element of A, namely 1 and 2, is also present in B, and B contains the additional element 3. Thus A is a proper subset of B. Similarly, every element of B is present in C, while C has the additional element 4, so B is a proper subset of C. Therefore the correct chain is A ⊂ B ⊂ C. The inclusions are proper because the consecutive sets are not equal.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
